If the birth and death rates of a bug are influenced by the
number of other bugs within a certain radius \(R\) , one talks
about a nonlocal interaction of finite range. In the
present paper we assume that the birth and death rates of the
\(i\) -th individual depend linearly on the number of neighbors in
the interaction range [1]},
\(r^i_b &=& \mathrm {max} \left( 0, r_{b0} - \alpha N_R^i \right) \, ,  \\r^i_d &=& \mathrm {max} \left( 0, r_{d0} + \beta N_R^i \right) \, . \) 
